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Normal Distribution Word Problems

30% of a firm`s orders come from new customers(#2641)
30% of a firm's orders come from new customers. A simple random sample of 100 orders will be used to estimate the proportion of new customers. Find probability that sample proportion will be between 0.22 and 0...

A reading program is administered(#2948)
A reading program is administered to the bottom 5% of the students. If the average score of the students is 122.6, find the cutoff score that will make a student eligible to the ...

normal distribution, statistics, standard deviation

At a fair, 37 pumpkins were entered for judging(#3489)
At a fair, 37 pumpkins were entered for judging under the normal pumpkin division. If the masses are normally distributed and the average weight is 12.4 kg, with a standard deviation for 2.31 kg. What is the probability that a pumpkin has a mass between 13...

In a class of 25 students(#2972)
In a class of 25 students, the grades were normally distributed with a mean of 78 and a standard deviation of 5. Sketch the normal curve for the distribution. What percentage of the students scored above an 88...

normal distribution, statistics, mean, standard deviation

In France, years of life expectancy(#3345)
In France, years of life expectancy are normally distributed with a mean of 81 years and a standard deviation fo seven years. For the French population:
a) What is the probability of living 92 years or ...

Normal Distribution(#3577)
for a specific year, american spent an average of $71.12 for books. Assume the variable is normally distributed.If the standard deviation of the amount spent on books is 8.42, find these probabliities for a normaly selected americans.
1. he or she spent more than $60 per year on books.

2...

statistics, normal distribution

Normal Distribution(#5716)
1. A normal distribution has a mean of 20 and a standard deviation of 4.
a) Find the percentile rank for a data value of 17 ( i....

normal distribution, statistics

Normal Distribution(#5732)
the amount of daily deposits and daily withdrawals are given by independent random variables withnormal distributions.For deposits,the mean is $12000 and standard deviation of 4000.For withdrawals the mean is $10000 and standard deviation is $5000.Find the probablity that on any particular day the with drawal is greater than deposits

normal distribution, statistics

Normal Distribution(#6199)
Population mean= 800 and standard deviation= 150; If you were to select a random sample of 500 students how many would you expect to have in your sample who spent $750 or less on clothing?

normal distribution, statistics

Normal Distribution(#6326)
the average age of lawyers is 40 years, with a standard deviation of 3 years. if a law firm employs 36 ...

normal distribution, statistics

Normal Distribution(#7523)
the mean yield a given year for sugar beets is 22 tons/acre and the standard deviation 3.8. For a sample of 280 fields, find the approximate number with a yield between 18.2 and 25.8. assume a normal distribution

normal distribution, statistics

Normal Distribution(#8417)
an almanac reports the average person uses 118 gallons of water daily. If the standard deviation is 24 gallons, find the probability that the mean of a randomly selected sample of 15 people will be between 116 and 120 gallons. Assume the variable is normally distributed. Round your answe to two decimals

normal distribution, statistics

Test for high school students(#2909)
Test for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 38.8 and a standard diviation of 1.9. A student with a 3.5 to 4.00 grade point average who took the standarized tes is randomly ...

The mayor of a small town estimates(#2432)
The mayor of a small town estimates that 35% of the residents in his town favor the construction of a municipal parking lot. If there are 350 people at a town meeting, find the probability that at least 100 favor construction of a parking lot. Based on your ...